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Least Common Multiple (LCM) of 34 and 106

The least common multiple (LCM) of 34 and 106 is 1802.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 34 and 106?

First, calculate the GCD of 34 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 106 = 0 remainder 34
2 106 ÷ 34 = 3 remainder 4
3 34 ÷ 4 = 8 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 181170
45 and 961440
12 and 74444
96 and 14672
146 and 17412702

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